7. High School students participate in only one sports event as follows: Sports

Question

7. High School students participate in only one sports event as follows: Sports Event Basketball Soccer 10 Sophomores Juniors Seniors 12 15 30 28 18 26 16 Find the probability that a Sophomore student plays soccer. A. 0.29 B. 0.62 C. 0.20 D. 0.44 E. 0.18 8. In Question 7, find the probability that a student chosen at random plays football or basketball. A. 0.43 B. 0.37 C. 0.91 D. 0.79 E. 0.85 9. In Question 7, find the probability that a High School Junior plays basketball. A. 0.357 B. 0.528 C. 0.298 D. 0.474 E. 0.818 10. What is the percentage of High-School seniors that play both soccer and football in Question 7? A. 64% B. 36% C. 25% D. 0% E. 100%

Explanation / Answer

7. Probability that a sophomore plays soccer = 10 / (10 + 12 + 28)

= 10 / 50

= 0.2.

8. Probability that a player plays football or basketball

= (12 + 15 + 30 + 28 + 18 + 26) /  (12 + 15 + 30 + 28 + 18 + 26 + 10 + 9 + 16)

= 129 / 164

= 0.7866.

9. Probability that a high school junior plays basketball

= 15 / (15 + 18 + 9)

= 15 / 42

= 0.3571.

10. Since it is given that one student plays only one sport, probability is

D.0%.

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